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Finding the Fourth Proportional to 329,266.43, 454,389.86 and 178,363.43

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Solution

The fourth proportional to 329,266.43, 454,389.86 and 178,363.43 is: 246,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,266.43 : 454,389.86 = 178,363.43 : x
  2. Step 2: Convert to fraction form
    329,266.43/454,389.86 = 178,363.43/x
  3. Step 3: Cross multiply
    329,266.43x = 454,389.86 × 178,363.43
  4. Step 4: Simplify right side
    329,266.43x = 81,046,533,095.00
  5. Step 5: Solve for x
    x = 81,046,533,095.00/329,266.43
  6. Step 6: Final answer
    x = 246,142.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.